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Finding the Fourth Proportional to 10,273.23, 15,409.44 and 7,144.02

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Solution

The fourth proportional to 10,273.23, 15,409.44 and 7,144.02 is: 10,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.23 : 15,409.44 = 7,144.02 : x
  2. Step 2: Convert to fraction form
    10,273.23/15,409.44 = 7,144.02/x
  3. Step 3: Cross multiply
    10,273.23x = 15,409.44 × 7,144.02
  4. Step 4: Simplify right side
    10,273.23x = 110,085,347.55
  5. Step 5: Solve for x
    x = 110,085,347.55/10,273.23
  6. Step 6: Final answer
    x = 10,715.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.